Special Abilities

I can recommend some but I'm not sure if it what you're looking for..
Yamada and the 7 witches
 xxxHolic
 Mater's sun
 Nine nine time travel
 Blood
 Who Are you?
 Vampire Heaven
 Gu Family Book

Sorry if it's not what you were looking for :)
 

A Different Kind of Pretty Man......a group of friends are involved in an accident and saved by a scientist and develops special powers.

Orthros No Inu is pretty cool. Two characters have special powers. One has the power to heal and the other the power to kill with just a touch. 

6-jikan Go ni Kimi wa Shinu (2008) - Japanese drama special where the main character can predict the future.
Border (2014) - Japanese drama where the main character can see ghosts.
Haunters (2010) - Korean movie where one character can control people's minds versus another who is the only one immune to his control.
Nanase Futatabi (2008) - Japanese drama where the lead character can read other people's minds, and the main supporting characters have various abilities.
Satorare (2002) - Japanese drama where everyone else can hear the main character's thoughts.
Psychometrer Eiji (1997) - Japanese drama where the lead character uses psychometry to help solve crimes.
The Gifted Hands (2013) - Korean movie where a character helps the lead solve a murder case using psychometry.
Vampire Prosecutor (2011) - Korean drama where main character is a vampire and uses his abilities to help solve crimes.
Yasha (2000) - Japanese drama where lead characters are clones and have superior physical strength, supernatural powers and extremely high IQ.